This document contains notes and examples for teaching a lesson on solving one-step equations by multiplying fractions. It includes the aims and objectives of the lesson, examples worked out step-by-step, and homework assignments for students to practice the skills. The lesson covers key concepts like multiplicative inverses and the rules for isolating variables by keeping equations balanced and using inverse operations.

1. Day 2 Mult Div.notebook January 11, 2013
AIM: Solving One-Step
Equations by Multiplying
Fractions
Do Now
Weekly Quiz 7
1

2. Day 2 Mult Div.notebook January 11, 2013
2

3. Day 2 Mult Div.notebook January 11, 2013
Anticipatory Set
Complete the following examples.
1
3 3 3
3
1
4 4 4
4
1
5 5 5
5
2.) Describe any conclusions you can make based on the
examples above.
Multiplicative Inverse
3

4. Day 2 Mult Div.notebook January 11, 2013
Anticipatory Set
Multiplicative Inverse: The product of any number and its reciprocal is one.
Algebraic Definition
Example 1 Example 2
4

5. Day 2 Mult Div.notebook January 11, 2013
1 ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Use inverse operations
-7
2x =
9
5

6. Day 2 Mult Div.notebook January 11, 2013
CHECK
-7
2x =
9
6

7. Day 2 Mult Div.notebook January 11, 2013
2 ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Use inverse operations
2 y 13
=
5 15
7

8. Day 2 Mult Div.notebook January 11, 2013
CHECK
2 y 13
=
5 15
8

9. Day 2 Mult Div.notebook January 11, 2013
3
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Use inverse operations
5 -2
= x
6 9
9

10. Day 2 Mult Div.notebook January 11, 2013
4
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Use inverse operations
14 y -7
=
25 15
10

11. Day 2 Mult Div.notebook January 11, 2013
5 ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Use inverse operations
-10 y -2
=
13 3
11

12. Day 2 Mult Div.notebook January 11, 2013
6
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Use inverse operations
3
= -6y
7
12

13. Day 2 Mult Div.notebook January 11, 2013
7
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Use inverse operations
1 r -7
1 =
6 20
13

14. Day 2 Mult Div.notebook January 11, 2013
8
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Use inverse operations
3 r 1
-2 = -12
4 2
14

15. Day 2 Mult Div.notebook January 11, 2013
1 square yards
Area of Patio = 8
2
1 yards
Length of Patio = 2
3
Width of Patio = x
15

16. Day 2 Mult Div.notebook January 11, 2013
Before You Leave
1.) What would we multiply each side of the following
equation to solve for x.
ax = 27
2.) What is x equal to?
16

17. Day 2 Mult Div.notebook January 11, 2013
Homework
Homework Sheet
17

18. Day 2 Mult Div.notebook January 11, 2013
AIM: Solving One-Step Equations
by Multiplying Fractions
-7
2x =
9
18

19. Day 2 Mult Div.notebook January 11, 2013
-10 y -2
=
13 3
19

20. Day 2 Mult Div.notebook January 11, 2013
1 r -7
1 =
6 20
20

21. Attachments
Day 1 Multiplicative and Additive Inverse.notebook